integral from-2x to 2x of sqrt(3x+y)

Lösung

\int_{- 2 x}^{2 x} 3 x + y d y

\frac{( 10 5 - 2 ) x ^{\frac{3}{2}}}{3}

Schritte zur Lösung

\int_{- 2 x}^{2 x} 3 x + y d y

Wende U-Substitution an

= \int_{x}^{5 x} u d u

Wende die Potenzregel an

= [\frac{2}{3} u^{\frac{3}{2}}]_{x}^{5 x}

Berechne die Grenzen:

\frac{10 5 - 2}{3} x^{\frac{3}{2}}

= \frac{10 5 - 2}{3} x^{\frac{3}{2}}

Vereinfache

= \frac{( 10 5 - 2 ) x ^{\frac{3}{2}}}{3}

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